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Finding the Fourth Proportional to 6,363.78, 9,545.68 and 1,981.24

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Solution

The fourth proportional to 6,363.78, 9,545.68 and 1,981.24 is: 2,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.78 : 9,545.68 = 1,981.24 : x
  2. Step 2: Convert to fraction form
    6,363.78/9,545.68 = 1,981.24/x
  3. Step 3: Cross multiply
    6,363.78x = 9,545.68 × 1,981.24
  4. Step 4: Simplify right side
    6,363.78x = 18,912,304.21
  5. Step 5: Solve for x
    x = 18,912,304.21/6,363.78
  6. Step 6: Final answer
    x = 2,971.87

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.